Geometric Modeling with Splines

An Introduction

Elaine Cohen, Richard F. Riesenfeld, Gershon Elber

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Hardback

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English

A K Peters
18 July 2001

Analytic geometry; Graphical & digital media applications

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor and broad applicability. Appropriate for readers with a moderate degree of mathematical maturity, this book is suitable as an undergraduate or graduate text, or particularly as a resource for self-study.

By: Elaine Cohen, Richard F. Riesenfeld, Gershon Elber
Imprint: A K Peters
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm, Spine: 43mm
Weight: 1.156kg
ISBN: 9781568811376
ISBN 10: 1568811373
Pages: 638
Publication Date: 18 July 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Part I: Introduction 1. Review of Basic Concepts Part II: Curves 2. Representation Issues 3. Conic Sections 4. Differential Geometry for Space Curves 5. Bezier Curves and Bernstein Approximation 6. B-Spline Curves 7. Linear Spaces of B-Splines 8. Choosing a B-Spline Space 9. Data Fitting with B-Splines 10. Other Polynomial Bases for Interpolation 11. Other Derivations of B-Splines Part III: Surfaces 12. Differential Geometry for Surfaces 13. Surface Representations 14. Fitting Surfaces 15. Modeling with B-Spline Surfaces Part IV: Advanced Techniques 16. Subdivision and Refinement for Splines 17. Subdivision and Refinement in Modeling 18. Set Operations to Effect Modeling 19. Model Data Structures 20. Subdivision Surfaces 21. Higher-Dimensional Tensor Product B-Splines

Elaine Cohen, Richard F. Riesenfeld, Gershon Elber